On selfadjoint matrix polynomials

DOI10.1007/BF01682679zbMath0424.47010OpenAlexW2005581121MaRDI QIDQ1134978

Peter Lancaster, Leiba Rodman, Israel Gohberg

Publication date: 1979

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01682679

zbMATH Keywords

sign characteristicselfadjoint matrix polynomials

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Perturbation theory of linear operators (47A55)

Related Items

Minimal factorization of selfadjoint rational matrix functions, The Bezoutian and the eigenvalue-separation problem for matrix polynomials, Perturbations of H-selfadjoint matrices, with applications to differential equations, Maximal invariant neutral subspaces and an application to the algebraic Riccati equation, On the Sign Characteristics of Selfadjoint Matrix Polynomials, Abstract kinetic equations relevant to supercritical media

Cites Work

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• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• On some mathematical principles in the linear theory of damped oscillations of continua I